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Tamil Nadu Board of Secondary EducationHSC Science Class 12

Choose the correct alternative: sin-1(tan π4)-sin-1(3x)=π6. Then x is a root of the equation - Mathematics

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Question

Choose the correct alternative:

`sin^-1 (tan  pi/4) - sin^-1 (sqrt(3/x)) = pi/6`. Then x is a root of the equation

Options

  • x2 – x – 6 = 0

  • x2 – x – 12 = 0

  • x2 + x – 12 = 0

  • x2 + x – 6 = 0

MCQ

Solution

x2 – x – 12 = 0

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Chapter 4: Inverse Trigonometric Functions - Exercise 4.6 [Page 167]

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Samacheer Kalvi Mathematics - Volume 1 and 2 [English] Class 12 TN Board
Chapter 4 Inverse Trigonometric Functions
Exercise 4.6 | Q 13 | Page 167
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